Hello
Is there any way to evaluate (or even plot) the inverse survival function of a sum of two Fs?
Here is what I have so far
\[ScriptCapitalD]=TransformedDistribution[u+v,{u\[Distributed]FRatioDistribution[2,2 2],v\[Distributed]FRatioDistribution[2,2 2]}]
PDF[\[ScriptCapitalD],x]
Plot[PDF[\[ScriptCapitalD],x],{x,0,10},Filling->Axis]
CDF[\[ScriptCapitalD],x]
Plot[CDF[\[ScriptCapitalD],x],{x,0,10},Filling->Axis]
All above commands return the results I expect but when I try
Plot[InverseSurvivalFunction[\[ScriptCapitalD],x],{x,0,1},Filling->Axis,PlotRange-> Full]
Mathematica won't show any curve. Does it mean that Mathematica could not find an expression for it?
I know that the sum of Fs will get rather complicated.
Is there any way to get an output from InverseSurvivalFunction[\[ScriptCapitalD],0.95] for instance?
Many thanks
Ed